CLIMB: a new Los Alamos Scientific Laboratory lens design code

Morris Klein; Berlyn Brixner

doi:10.1364/AO.15.002583

Applied Optics
Vol. 15,
Issue 10,
pp. 2583-2587
(1976)
•https://doi.org/10.1364/AO.15.002583

CLIMB: a new Los Alamos Scientific Laboratory lens design code

Morris Klein and Berlyn Brixner

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Morris Klein and Berlyn Brixner, "CLIMB: a new Los Alamos Scientific Laboratory lens design code," Appl. Opt. 15, 2583-2587 (1976)

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Abstract

The new LASL lens design code uses a Monte Carlo random selection of object points in the object field, each with a ray of specified color traced through a randomly selected point in the entrance pupil. The figure of merit is measured by the failure of the designer’s mapping function, including constraints, to predict the actual ray trace position at the focal surface or elsewhere in the optical system. Optical system layout flexibility has been increased by allowing (1) the coordinate system to move with the central ray during designing, (2) the introduction of an accessory reference surface anywhere in the system, and (3) the specification of an optical surface by a table of surface coordinates.

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Example	Demand set	Comments
(1)	$ϕ = \sum_{1}^{N R} ({w_{1}}^{2} {D_{1}}^{2} + {w_{2}}^{2} {D_{2}}^{2})$ ,	Given a point source positioned on the z axis, ϕ will constrain the design in a least squares sense toward producing a lens giving minimum rms x and y spot sizes with bias w₁ and w₂.
	NR ≡ total number of rays traced,
	D₁ = x₁(Q + 1),
	D₂ = x₃(Q + 1).
(2)	$ϕ = \sum_{1}^{N R} {D_{1}}^{2}$ ,	Given a line source oriented along the y axis, ϕ will constrain the design in a least squares sense toward producing a lens whose y image is rectilinear
(2)	D₁ = x₃(−1) + x₃(Q + 1)	[x₃(Q + 1)/x₃(−1) = −1.]
(3)	$ϕ = \sum_{1}^{N R} {D_{1}}^{2}$ ,	Given a line source oriented along the y axis, ϕ will constrain the design in a least squares sense toward producing a lens whose y image is rectilinear and has a linear magnification constant (m = −1./c) supplied dynamically by the code.
(3)	D₁ = x₃(−1) + c · x₃(Q + 1).
(4)	$ϕ = \sum_{1}^{N R} ({w_{1}}^{2} {D_{1}}^{2} + {w_{2}}^{2} {D_{2}}^{2})$ ,	Given a point source, ϕ will yield nonzero centroids c₁ and c₂ when the lens or source is misaligned. Design is constrained to produce a lens with minimum x and y rms spot sizes in the focal plane about centroids c₁ and c₂.
	D₁ = x₁(Q + 1) + c₁,
	D₂ = x₃(Q + 1) + c₂.
(5)	$ϕ = \sum_{1}^{N R} ({w_{1}}^{2} {D_{1}}^{2} + {w_{2}}^{2} {D_{2}}^{2} + \dots)$ .	D₁ and D₂ constrain the lens to image a plane wave in the object space onto a plane wave in the reference plane (Q/2) located at the center of the lens. These demands are employed in conjunction with focal plane constraints so as to keep a control on the physical size of the optical elements.
	Let Q/2 denote a reference plane positioned at the center of the lens system.
	D₁ = x₂(−1) + c₁x₂(Q/2),
	D₂ = x₄(−1) + c₂x₄(Q/2).
(6)	$ϕ = \sum_{1}^{N R} (w_{1} {D_{1}}^{2} + w_{2} {D_{2}}^{2})$ ,	Given a line source oriented along the y axis, ϕ will constrain the design toward producing a lens whose y position in the focal plane is correlated only to its corresponding y position in the source and whose rms x spot is a minimum. The coefficients c₁, i = 1,3,5,7 are dynamically determined. This merit function is employed for the design of a microfiche type lens.
	D₁ = x₃(Q + 1) + c₁ · x₃(−1) + c₃ · [x₃(−1)]³ + c₅ · [x₃(−1)]⁵ + c₇ · [x₃(−1)],⁷
	D₂ = x₁(Q + 1).

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Applied Optics